📜 Theorem, law or theory

Poincaré lemma

Lema de Poincaré

Date
1886 · confidence high
Place
Paris, France
Credited to
Henri Poincaré
Field
Knowledge & symbols

What was discovered

Result by Henri Poincaré guaranteeing that every closed differential form on an open ball in Rⁿ is exact, a sufficient condition that became a basic tool of differential geometry and De Rham cohomology.

What it led to

  • Foundation of De Rham cohomology
  • Standard tool in differential geometry and mathematical physics
  • Later generalization to manifolds with different topology

Links

Sources✓ verified 2026-09-28